axiomatize en · VERB
Etymology
Etymology tree English axiomatic Proto-Indo-European *-id- Proto-Indo-European *-yéti Proto-Indo-European *-idyéti Proto-Hellenic *-íd͏̌d͏̌ō Ancient Greek -ῐ́ζω (-ĭ́zō)bor. Late Latin -izōder. Middle French -iserbor. Middle English -isen English -ize English axiomatize From axiomatic + -ize.
Meanings
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To establish a set of axioms that describe or govern certain phenomena
For toposes were invented by Grothendieck in the sixties for specific purposes in algebraic geometry and algebraic topology. Later on, Lawvere and Tierney [11] axiomatized the notion of an elementary topos with the goal of providing an appropriate foundation for differential geometry.
1998, Jean-Pierre Marquis, “Book Review: Colin McLarty. Elementary Categories, Elementary Toposes.”, in Notre Dame Journal of Formal Logic, volume 39, number 3, page 441:
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| axiomatizes | Number=Sing, Person=3, Tense=Pres | lexicographic | |
| axiomize | alternative | lexicographic | |
| axiomatized | Tense=Past, VerbForm=Part | lexicographic | |
| axiomatized | Tense=Past | lexicographic | |
| axiomatise | alternative | lexicographic | |
| axiomatizing | Tense=Pres, VerbForm=Part | lexicographic |
Deriveds
axiomatizability · axiomatizable · axiomatization · unaxiomatized
Relateds
axiom · axiomatic system · axiomatic
Translations (9)
ca axiomatitzar (to establish a set of axioms that describe or govern certain phenomena) · ro axiomatiza (to establish a set of axioms that describe or govern certain phenomena) · cs axiomatizovat (to establish a set of axioms that describe or govern certain phenomena) · de axiomatisieren (to establish a set of axioms that describe or govern certain phenomena) · pl zaksjomatyzować (to establish a set of axioms that describe or govern certain phenomena) · kk аксиомаландыру (to establish a set of axioms that describe or govern certain phenomena) · fr axiomatiser (to establish a set of axioms that describe or govern certain phenomena) · pl aksjomatyzować (to establish a set of axioms that describe or govern certain phenomena) · fi aksiomatisoida (to establish a set of axioms that describe or govern certain phenomena)